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... logic and first order interval neutrosophic predicate logic. The interval neutrosophic logic can reason and model fuzzy, incomplete and inconsistent information. In this chapter, we also design an interval neutrosophic inference system based on first order interval neutrosophic predicate logic. The interval neutrosophic inference system can be applied to decision making. ...

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...sophic Propositional Calculus . . . . . . . . . 23 2.2.2 Semantics of Interval Neutrosophic Propositional Calculus . . . . . . . . . 24 2.2.3 Proof Theory of Interval Neutrosophic Propositional Calculus . . . . . . . . 25 2.3 Interval Neutrosophic Predicate Calculus . . . . . . . . . . . . . . . . 27 2.3.1 Syntax of Interval Neutrosophic Predicate Calculus . . . . . . ...

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...This book is devoted to an emerging branch of Information Fusion based on new approach for modeling the fusion problematic when the information provided by the sources is both uncertain and (highly) conflicting. This approach, known in literature as DSmT (standing for De...

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...on the enumeration of isotone Boolean functions . . . 51 3.2.2 Ordering based on the DSm cardinality . . . 52 3.2.3 Ordering based on the intrinsic informational content . . . 56 3.3 Conclusion . . . . . 59 3.4 References . . . . . 60 4 Combination of beliefs on hybrid DSm models 61 4.1 Introduction . . . . . 61 4.2 On the independence of the sources of evidences ....

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...This second book devoted on advances and applications of Dezert-Smarandache Theory (DSmT) for information fusion collects recent papers from different researchers working in engineering and mathematics. Part 1 of this book presents the current state-of-the-art on theoretical investigations while, Par...

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...Preamble iii Prefaces v Part I Advances on DSmT 1 Chapter 1 Proportional Conflict Redistribution Rules for Information Fusion 3 by Florentin Smarandache and Jean Dezert 1.1 Introduction . . . . . . . . . . . 3 1.2 The principal rules of combination . . . . . . . 6 1.2.1 Notion of total and partial conflicting masses . . . . . ...

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...Applications demonstrate the power of the DSmT framework. In this third Volume, DSmT is applied to the entire spectrum of the Information Fusion that would interest any reader in data, sensor, information, and mathematical fusion topics. Highlighted in Figure 1 are the contemporary issues that include the links between (1) data conditioning and info...

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...nality . . . . . . 46 1.6.3 The Generalized Pignistic Transformation . . . 47 1.7 The DSmP transformation . . . . . . . 48 1.7.1 The Probabilistic Information Content (PIC) . . . 49 1.7.2 The DSmP formula . . . . . . . 50 1.7.3 Examples for DSmP and BetP . . . . . . 51 1.8 Fusion of qualitative beliefs . . . . . . . 54 1.8.1 QualitativeOperators . . . . . . . 54 1....

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...o the discussion of human mental history in On the Origin of the Human Mind.” —Scientific American Mind (July 2009) “I found the Mental Synthesis theory stimulating and provocative. The author puts forward an explanation for the evolution of the human mind based on predator detection that led to increased visual mental analysis which set the stage for visual mental syn...

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...an Mind.” From that period to the present day, I have continued to work on the same subject. I hope that I may be excused for including this personal information about the time-frame of my research as I provide it to show that I have not been cursory in coming to my conclusions. Henri Poincaré, a French mathematician and a philosopher of science, wrote, “Science is buil...

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...ization of Venn Diagram, by Florentin Smarandache.........84 ECONOMICS, BUSINESS, AND POLITICS.................87 10. Introduction to Poly-Emporium Theory in Economics, by V. Christianto, F. Smarandache, in Authors’ book Cultural Advantage for Cities. An Alternative for Developing Countries, InfoLearnQuest, Ann Arbor, 61 p., 2008............88 11. Global Totalitarianism...

Table of Contents Details
...ization of Venn Diagram, by Florentin Smarandache.........84 ECONOMICS, BUSINESS, AND POLITICS.................87 10. Introduction to Poly-Emporium Theory in Economics, by V. Christianto, F. Smarandache, in Authors’ book Cultural Advantage for Cities. An Alternative for Developing Countries, InfoLearnQuest, Ann Arbor, 61 p., 2008............88 11. Global Totalitarianism...